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Finding the Third Proportional to 378,131 and 567,197

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Solution

The third proportional to 378,131 and 567,197 is: 850,796.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,131 : 567,197 = 567,197 : x
  2. Step 2: Convert to fraction form
    378,131/567,197 = 567,197/x
  3. Step 3: Cross multiply
    378,131x = 567,197 × 567,197
  4. Step 4: Simplify right side
    378,131x = 321,712,436,809
  5. Step 5: Solve for x
    x = 321,712,436,809/378,131
  6. Step 6: Final answer
    x = 850,796.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.